Abstract:It is a well-known conjecture in $\beta$-models and in their discrete counterpart that, generically, external potentials should be ``off-critical'' (or, equivalently, ``regular''). Exploiting the connection between minimizing measures and thin obstacle problems, we give a positive answer to this conjecture.
From: Giacomo Colombo [view email]
[v1]
Fri, 20 Dec 2024 12:11:00 UTC (32 KB)
[v2]
Mon, 23 Dec 2024 10:22:52 UTC (32 KB)
[v3]
Tue, 9 Sep 2025 09:24:17 UTC (36 KB)
[v4]
Sun, 9 Aug 2026 12:34:40 UTC (35 KB)
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